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Finding the Fourth Proportional to 10,012.52, 15,015 and 4,460.42

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Solution

The fourth proportional to 10,012.52, 15,015 and 4,460.42 is: 6,688.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.52 : 15,015 = 4,460.42 : x
  2. Step 2: Convert to fraction form
    10,012.52/15,015 = 4,460.42/x
  3. Step 3: Cross multiply
    10,012.52x = 15,015 × 4,460.42
  4. Step 4: Simplify right side
    10,012.52x = 66,973,206.30
  5. Step 5: Solve for x
    x = 66,973,206.30/10,012.52
  6. Step 6: Final answer
    x = 6,688.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.